Suppose candidate a for a town council seat receives 43% of the votes in an election. as voters leave the polls they are asked who they voted for. what is the probability that less than 40% of the 80 voters surveyed indicate they voted for candidate a? assume an infinite population.

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Mathematics

Elsie

16 January, 13:16

Suppose candidate a for a town council seat receives 43% of the votes in an election. as voters leave the polls they are asked who they voted for. what is the probability that less than 40% of the 80 voters surveyed indicate they voted for candidate a? assume an infinite population.

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Sonny · Answer 1

The probability that less than 40% of the 80 voters surveyed indicate they voted for candidate A is P (phat <0.4) = P ((phat-p) / sqrt (p * (1-p) / n) < (0.4-0.43) / sqrt (0.43 * (1-0.43) / 80)) = P (Z<-0.542) = 0.2939 (from standard normal table)